Finding the Fourth Proportional to 82.69, 123.86 and 52.17

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 123.86 = 52.17 : x
2. Step 2: Convert to fraction form
   82.69/123.86 = 52.17/x
3. Step 3: Cross multiply
   82.69x = 123.86 × 52.17
4. Step 4: Simplify right side
   82.69x = 6,461.78
5. Step 5: Solve for x
   x = 6,461.78/82.69
6. Step 6: Final answer
   x = 78.14